You can’t have “dozens of stories” with just bricks as the load bearing material, well I guess you could, but the lower level walls would have to be much thicker than those above and you’d end up with something like a pyramid.
The tallest brick skyscraper is considered to be Chicago’s Monadnock building, at 16 stories. The vertical load bearing structure is all bricks, bur there is also steel wind bracing. Any taller brick buildings you are thinking of have steel girders or some other kind onternal support, and the bricks are just for looks.